Where Does Gregg Williams Fit Into Saints History?

Or alternatively, how do you view Gregg Williams?
I ask this because the 15th anniversary of XLIV is creeping up and with that comes the accolades from that early ‘06-‘11 era.
Brees gets into the HOF and the Saints Ring of Honor with Payton following him at some point.
Various players getting inducted into the Saints HOF. Even some executives.
But what about Williams. Does he get excluded from any of this because of the events of the offseason of ‘12? Or does he get a welcome back.
I think GW was critical. There probably is not a Super Bowl victory without his contribution. The defense was not dominant overall. Middling but opportunistic. The turnovers generated were crucial and came at critical moments in that season.

And to clinch it, GWs game plan for the Super Bowl was credited with keeping Manning just enough off balance. He created 4 game plans to change looks by quarter.

You can argue the defense was really the critical difference maker that year to get all the way over the top to win the Super Bowl.